We divide 576368 by 89
We want to figure out the number of times 576368 can be divided by 89.

On to step 1:
5 divided by 89 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 89

On to step 2:
The number 89 fits into 57 0 times, leaving a remainder of 57.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 57, we get 57.
Append the next digit (6) from the dividend to 57 and continue with: 576 / 89

Moving on to step 3:
If we divide 576 by 89, we get 6 and a remainder of 42.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 534 from 576 leaves us with 42.
Append the next digit (3) from the dividend to 42 and continue with: 423 / 89

Going ahead to step 4:
89 goes into 423 4 times with a remainder of 67.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
Deduct 356 from 423 and we're left with 67.
Include the next digit (6) from the dividend after 67, then repeat: 676 / 89

Advancing to step 5:
The number 89 fits into 676 7 times, leaving a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 647.0
If we subtract 623 from 676, we get 53.
Include the next digit (8) from the dividend after 53, then repeat: 538 / 89

Let's proceed to step 6:
538 divided by 89 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 6476.0
If we subtract 534 from 538, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
The number 89 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 6476.0
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
89 goes into 400 4 times with a remainder of 44.
The next digit of our result is 4. 
Result so far: 6476.04
Subtract 356 from 400 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 9:
The number 89 fits into 440 4 times, leaving a remainder of 84.
Put 4 as the next digit of the answer. 
Result so far: 6476.044
If we take 356 away from 440, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Our division results in 6476.044 with a remaining 0.0084.